Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation
We establish a well-posedness result for the hydrodynamical form (HGP) of the one dimensional Gross-Pitaevskii equation (GP) via the classical form of this equation. The result established in this way proves that (HGP) is locally well-posed since the solution of (GP) can vanished at some $t\neq...
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| Format: | Article |
| Sprog: | English |
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Texas State University
2014-06-01
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| Serier: | Electronic Journal of Differential Equations |
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| Online adgang: | http://ejde.math.txstate.edu/Volumes/2014/141/abstr.html |